` A B C\ a n d\ D B C` are two isosceles triangles on the same bas `B C` and vertices `A\ a n d\ D` are on the same side of `B C` . If `A D` is extended to intersect `B C` at `P ,` show that ` A B D\ ~= A C D` (ii) ` A B P\ ~= A C P`

A B C\ a n d\ D B C are two isosceles triangles on the same bas B C and vertices A\ a n d\ D are on the same side of B C . If A D is extended to intersect B C at P , show that A P bisects " "/_A as well as /_D and A P is the perpendicular bisector of B C

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D

In Figure, A B C\ a n d\ D B C are two triangles on the same base B C such that A B=A C\ a n d\ D B=D Cdot Prove that /_A B D=/_A C D

A B C\ a n d\ D B C are both isosceles triangles on a common base B C such that A\ a n d\ D lie on the same side of B Cdot Are triangles A D B and A D C congruent? Which condition do you use? If /_B A C=40^0\ a n d\ /_B D C\ =100^0;\ then find \ /_A D B

Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, are drawn on the same base B C and on the same side of B C . If A C and D B intersect at P , prove that A P*P C=D P*P Bdot

In Figure, /_\ A B C and /_\ D B C are on the same base B C . If A D and B C intersect at O , prove that (A r e a\ ( A B C))/(A r e a\ ( D B C))=(A O)/(D O) .

D is a point on the circumcircle of A B C in which A B=A C such that B\ a n d\ D are on the opposite side of line A C . If C D is produced to a point E such that C E=B D , prove that A D=A E .

In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n d\ C E are two medians of the triangle. Prove that B D=C E

Triangles A B C and DBC are on the same base B C with A, D on opposite side of line B C , such that a r(triangle A B C)=a r( triangle D B C) . Show that B C bisects A D .

Triangles A B C and DBC are on the same base B C with A, D on opposite side of line B C , such that a r(_|_ A B C)=a r( D B C)dot Show that B C bisects A Ddot